//! Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --lang Rust --inline 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 //! curve description: 25519 //! machine_wordsize = 64 (from "64") //! requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 //! n = 5 (from "(auto)") //! s-c = 2^255 - [(1, 19)] (from "2^255 - 19") //! tight_bounds_multiplier = 1 (from "") //! //! Computed values: //! carry_chain = [0, 1, 2, 3, 4, 0, 1] //! eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) //! bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) //! balance = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] #![allow(unused_parens)] #![allow(non_camel_case_types)] pub type fiat_25519_u1 = u8; pub type fiat_25519_i1 = i8; pub type fiat_25519_u2 = u8; pub type fiat_25519_i2 = i8; /* The type fiat_25519_loose_field_element is a field element with loose bounds. */ /* Bounds: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]] */ pub type fiat_25519_loose_field_element = [u64; 5]; /* The type fiat_25519_tight_field_element is a field element with tight bounds. */ /* Bounds: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]] */ pub type fiat_25519_tight_field_element = [u64; 5]; /// The function fiat_25519_addcarryx_u51 is an addition with carry. /// /// Postconditions: /// out1 = (arg1 + arg2 + arg3) mod 2^51 /// out2 = ⌊(arg1 + arg2 + arg3) / 2^51⌋ /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0x7ffffffffffff] /// arg3: [0x0 ~> 0x7ffffffffffff] /// Output Bounds: /// out1: [0x0 ~> 0x7ffffffffffff] /// out2: [0x0 ~> 0x1] #[inline] pub fn fiat_25519_addcarryx_u51(out1: &mut u64, out2: &mut fiat_25519_u1, arg1: fiat_25519_u1, arg2: u64, arg3: u64) -> () { let x1: u64 = (((arg1 as u64) + arg2) + arg3); let x2: u64 = (x1 & 0x7ffffffffffff); let x3: fiat_25519_u1 = ((x1 >> 51) as fiat_25519_u1); *out1 = x2; *out2 = x3; } /// The function fiat_25519_subborrowx_u51 is a subtraction with borrow. /// /// Postconditions: /// out1 = (-arg1 + arg2 + -arg3) mod 2^51 /// out2 = -⌊(-arg1 + arg2 + -arg3) / 2^51⌋ /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0x7ffffffffffff] /// arg3: [0x0 ~> 0x7ffffffffffff] /// Output Bounds: /// out1: [0x0 ~> 0x7ffffffffffff] /// out2: [0x0 ~> 0x1] #[inline] pub fn fiat_25519_subborrowx_u51(out1: &mut u64, out2: &mut fiat_25519_u1, arg1: fiat_25519_u1, arg2: u64, arg3: u64) -> () { let x1: i64 = ((((((arg2 as i128) - (arg1 as i128)) as i64) as i128) - (arg3 as i128)) as i64); let x2: fiat_25519_i1 = ((x1 >> 51) as fiat_25519_i1); let x3: u64 = (((x1 as i128) & (0x7ffffffffffff as i128)) as u64); *out1 = x3; *out2 = (((0x0 as fiat_25519_i2) - (x2 as fiat_25519_i2)) as fiat_25519_u1); } /// The function fiat_25519_cmovznz_u64 is a single-word conditional move. /// /// Postconditions: /// out1 = (if arg1 = 0 then arg2 else arg3) /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [0x0 ~> 0xffffffffffffffff] /// arg3: [0x0 ~> 0xffffffffffffffff] /// Output Bounds: /// out1: [0x0 ~> 0xffffffffffffffff] #[inline] pub fn fiat_25519_cmovznz_u64(out1: &mut u64, arg1: fiat_25519_u1, arg2: u64, arg3: u64) -> () { let x1: fiat_25519_u1 = (!(!arg1)); let x2: u64 = ((((((0x0 as fiat_25519_i2) - (x1 as fiat_25519_i2)) as fiat_25519_i1) as i128) & (0xffffffffffffffff as i128)) as u64); let x3: u64 = ((x2 & arg3) | ((!x2) & arg2)); *out1 = x3; } /// The function fiat_25519_carry_mul multiplies two field elements and reduces the result. /// /// Postconditions: /// eval out1 mod m = (eval arg1 * eval arg2) mod m /// #[inline] pub fn fiat_25519_carry_mul(out1: &mut fiat_25519_tight_field_element, arg1: &fiat_25519_loose_field_element, arg2: &fiat_25519_loose_field_element) -> () { let x1: u128 = (((arg1[4]) as u128) * (((arg2[4]) * 0x13) as u128)); let x2: u128 = (((arg1[4]) as u128) * (((arg2[3]) * 0x13) as u128)); let x3: u128 = (((arg1[4]) as u128) * (((arg2[2]) * 0x13) as u128)); let x4: u128 = (((arg1[4]) as u128) * (((arg2[1]) * 0x13) as u128)); let x5: u128 = (((arg1[3]) as u128) * (((arg2[4]) * 0x13) as u128)); let x6: u128 = (((arg1[3]) as u128) * (((arg2[3]) * 0x13) as u128)); let x7: u128 = (((arg1[3]) as u128) * (((arg2[2]) * 0x13) as u128)); let x8: u128 = (((arg1[2]) as u128) * (((arg2[4]) * 0x13) as u128)); let x9: u128 = (((arg1[2]) as u128) * (((arg2[3]) * 0x13) as u128)); let x10: u128 = (((arg1[1]) as u128) * (((arg2[4]) * 0x13) as u128)); let x11: u128 = (((arg1[4]) as u128) * ((arg2[0]) as u128)); let x12: u128 = (((arg1[3]) as u128) * ((arg2[1]) as u128)); let x13: u128 = (((arg1[3]) as u128) * ((arg2[0]) as u128)); let x14: u128 = (((arg1[2]) as u128) * ((arg2[2]) as u128)); let x15: u128 = (((arg1[2]) as u128) * ((arg2[1]) as u128)); let x16: u128 = (((arg1[2]) as u128) * ((arg2[0]) as u128)); let x17: u128 = (((arg1[1]) as u128) * ((arg2[3]) as u128)); let x18: u128 = (((arg1[1]) as u128) * ((arg2[2]) as u128)); let x19: u128 = (((arg1[1]) as u128) * ((arg2[1]) as u128)); let x20: u128 = (((arg1[1]) as u128) * ((arg2[0]) as u128)); let x21: u128 = (((arg1[0]) as u128) * ((arg2[4]) as u128)); let x22: u128 = (((arg1[0]) as u128) * ((arg2[3]) as u128)); let x23: u128 = (((arg1[0]) as u128) * ((arg2[2]) as u128)); let x24: u128 = (((arg1[0]) as u128) * ((arg2[1]) as u128)); let x25: u128 = (((arg1[0]) as u128) * ((arg2[0]) as u128)); let x26: u128 = (x25 + (x10 + (x9 + (x7 + x4)))); let x27: u64 = ((x26 >> 51) as u64); let x28: u64 = ((x26 & (0x7ffffffffffff as u128)) as u64); let x29: u128 = (x21 + (x17 + (x14 + (x12 + x11)))); let x30: u128 = (x22 + (x18 + (x15 + (x13 + x1)))); let x31: u128 = (x23 + (x19 + (x16 + (x5 + x2)))); let x32: u128 = (x24 + (x20 + (x8 + (x6 + x3)))); let x33: u128 = ((x27 as u128) + x32); let x34: u64 = ((x33 >> 51) as u64); let x35: u64 = ((x33 & (0x7ffffffffffff as u128)) as u64); let x36: u128 = ((x34 as u128) + x31); let x37: u64 = ((x36 >> 51) as u64); let x38: u64 = ((x36 & (0x7ffffffffffff as u128)) as u64); let x39: u128 = ((x37 as u128) + x30); let x40: u64 = ((x39 >> 51) as u64); let x41: u64 = ((x39 & (0x7ffffffffffff as u128)) as u64); let x42: u128 = ((x40 as u128) + x29); let x43: u64 = ((x42 >> 51) as u64); let x44: u64 = ((x42 & (0x7ffffffffffff as u128)) as u64); let x45: u64 = (x43 * 0x13); let x46: u64 = (x28 + x45); let x47: u64 = (x46 >> 51); let x48: u64 = (x46 & 0x7ffffffffffff); let x49: u64 = (x47 + x35); let x50: fiat_25519_u1 = ((x49 >> 51) as fiat_25519_u1); let x51: u64 = (x49 & 0x7ffffffffffff); let x52: u64 = ((x50 as u64) + x38); out1[0] = x48; out1[1] = x51; out1[2] = x52; out1[3] = x41; out1[4] = x44; } /// The function fiat_25519_carry_square squares a field element and reduces the result. /// /// Postconditions: /// eval out1 mod m = (eval arg1 * eval arg1) mod m /// #[inline] pub fn fiat_25519_carry_square(out1: &mut fiat_25519_tight_field_element, arg1: &fiat_25519_loose_field_element) -> () { let x1: u64 = ((arg1[4]) * 0x13); let x2: u64 = (x1 * 0x2); let x3: u64 = ((arg1[4]) * 0x2); let x4: u64 = ((arg1[3]) * 0x13); let x5: u64 = (x4 * 0x2); let x6: u64 = ((arg1[3]) * 0x2); let x7: u64 = ((arg1[2]) * 0x2); let x8: u64 = ((arg1[1]) * 0x2); let x9: u128 = (((arg1[4]) as u128) * (x1 as u128)); let x10: u128 = (((arg1[3]) as u128) * (x2 as u128)); let x11: u128 = (((arg1[3]) as u128) * (x4 as u128)); let x12: u128 = (((arg1[2]) as u128) * (x2 as u128)); let x13: u128 = (((arg1[2]) as u128) * (x5 as u128)); let x14: u128 = (((arg1[2]) as u128) * ((arg1[2]) as u128)); let x15: u128 = (((arg1[1]) as u128) * (x2 as u128)); let x16: u128 = (((arg1[1]) as u128) * (x6 as u128)); let x17: u128 = (((arg1[1]) as u128) * (x7 as u128)); let x18: u128 = (((arg1[1]) as u128) * ((arg1[1]) as u128)); let x19: u128 = (((arg1[0]) as u128) * (x3 as u128)); let x20: u128 = (((arg1[0]) as u128) * (x6 as u128)); let x21: u128 = (((arg1[0]) as u128) * (x7 as u128)); let x22: u128 = (((arg1[0]) as u128) * (x8 as u128)); let x23: u128 = (((arg1[0]) as u128) * ((arg1[0]) as u128)); let x24: u128 = (x23 + (x15 + x13)); let x25: u64 = ((x24 >> 51) as u64); let x26: u64 = ((x24 & (0x7ffffffffffff as u128)) as u64); let x27: u128 = (x19 + (x16 + x14)); let x28: u128 = (x20 + (x17 + x9)); let x29: u128 = (x21 + (x18 + x10)); let x30: u128 = (x22 + (x12 + x11)); let x31: u128 = ((x25 as u128) + x30); let x32: u64 = ((x31 >> 51) as u64); let x33: u64 = ((x31 & (0x7ffffffffffff as u128)) as u64); let x34: u128 = ((x32 as u128) + x29); let x35: u64 = ((x34 >> 51) as u64); let x36: u64 = ((x34 & (0x7ffffffffffff as u128)) as u64); let x37: u128 = ((x35 as u128) + x28); let x38: u64 = ((x37 >> 51) as u64); let x39: u64 = ((x37 & (0x7ffffffffffff as u128)) as u64); let x40: u128 = ((x38 as u128) + x27); let x41: u64 = ((x40 >> 51) as u64); let x42: u64 = ((x40 & (0x7ffffffffffff as u128)) as u64); let x43: u64 = (x41 * 0x13); let x44: u64 = (x26 + x43); let x45: u64 = (x44 >> 51); let x46: u64 = (x44 & 0x7ffffffffffff); let x47: u64 = (x45 + x33); let x48: fiat_25519_u1 = ((x47 >> 51) as fiat_25519_u1); let x49: u64 = (x47 & 0x7ffffffffffff); let x50: u64 = ((x48 as u64) + x36); out1[0] = x46; out1[1] = x49; out1[2] = x50; out1[3] = x39; out1[4] = x42; } /// The function fiat_25519_carry reduces a field element. /// /// Postconditions: /// eval out1 mod m = eval arg1 mod m /// #[inline] pub fn fiat_25519_carry(out1: &mut fiat_25519_tight_field_element, arg1: &fiat_25519_loose_field_element) -> () { let x1: u64 = (arg1[0]); let x2: u64 = ((x1 >> 51) + (arg1[1])); let x3: u64 = ((x2 >> 51) + (arg1[2])); let x4: u64 = ((x3 >> 51) + (arg1[3])); let x5: u64 = ((x4 >> 51) + (arg1[4])); let x6: u64 = ((x1 & 0x7ffffffffffff) + ((x5 >> 51) * 0x13)); let x7: u64 = ((((x6 >> 51) as fiat_25519_u1) as u64) + (x2 & 0x7ffffffffffff)); let x8: u64 = (x6 & 0x7ffffffffffff); let x9: u64 = (x7 & 0x7ffffffffffff); let x10: u64 = ((((x7 >> 51) as fiat_25519_u1) as u64) + (x3 & 0x7ffffffffffff)); let x11: u64 = (x4 & 0x7ffffffffffff); let x12: u64 = (x5 & 0x7ffffffffffff); out1[0] = x8; out1[1] = x9; out1[2] = x10; out1[3] = x11; out1[4] = x12; } /// The function fiat_25519_add adds two field elements. /// /// Postconditions: /// eval out1 mod m = (eval arg1 + eval arg2) mod m /// #[inline] pub fn fiat_25519_add(out1: &mut fiat_25519_loose_field_element, arg1: &fiat_25519_tight_field_element, arg2: &fiat_25519_tight_field_element) -> () { let x1: u64 = ((arg1[0]) + (arg2[0])); let x2: u64 = ((arg1[1]) + (arg2[1])); let x3: u64 = ((arg1[2]) + (arg2[2])); let x4: u64 = ((arg1[3]) + (arg2[3])); let x5: u64 = ((arg1[4]) + (arg2[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /// The function fiat_25519_sub subtracts two field elements. /// /// Postconditions: /// eval out1 mod m = (eval arg1 - eval arg2) mod m /// #[inline] pub fn fiat_25519_sub(out1: &mut fiat_25519_loose_field_element, arg1: &fiat_25519_tight_field_element, arg2: &fiat_25519_tight_field_element) -> () { let x1: u64 = ((0xfffffffffffda + (arg1[0])) - (arg2[0])); let x2: u64 = ((0xffffffffffffe + (arg1[1])) - (arg2[1])); let x3: u64 = ((0xffffffffffffe + (arg1[2])) - (arg2[2])); let x4: u64 = ((0xffffffffffffe + (arg1[3])) - (arg2[3])); let x5: u64 = ((0xffffffffffffe + (arg1[4])) - (arg2[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /// The function fiat_25519_opp negates a field element. /// /// Postconditions: /// eval out1 mod m = -eval arg1 mod m /// #[inline] pub fn fiat_25519_opp(out1: &mut fiat_25519_loose_field_element, arg1: &fiat_25519_tight_field_element) -> () { let x1: u64 = (0xfffffffffffda - (arg1[0])); let x2: u64 = (0xffffffffffffe - (arg1[1])); let x3: u64 = (0xffffffffffffe - (arg1[2])); let x4: u64 = (0xffffffffffffe - (arg1[3])); let x5: u64 = (0xffffffffffffe - (arg1[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /// The function fiat_25519_selectznz is a multi-limb conditional select. /// /// Postconditions: /// out1 = (if arg1 = 0 then arg2 else arg3) /// /// Input Bounds: /// arg1: [0x0 ~> 0x1] /// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] /// arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] /// Output Bounds: /// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] #[inline] pub fn fiat_25519_selectznz(out1: &mut [u64; 5], arg1: fiat_25519_u1, arg2: &[u64; 5], arg3: &[u64; 5]) -> () { let mut x1: u64 = 0; fiat_25519_cmovznz_u64(&mut x1, arg1, (arg2[0]), (arg3[0])); let mut x2: u64 = 0; fiat_25519_cmovznz_u64(&mut x2, arg1, (arg2[1]), (arg3[1])); let mut x3: u64 = 0; fiat_25519_cmovznz_u64(&mut x3, arg1, (arg2[2]), (arg3[2])); let mut x4: u64 = 0; fiat_25519_cmovznz_u64(&mut x4, arg1, (arg2[3]), (arg3[3])); let mut x5: u64 = 0; fiat_25519_cmovznz_u64(&mut x5, arg1, (arg2[4]), (arg3[4])); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /// The function fiat_25519_to_bytes serializes a field element to bytes in little-endian order. /// /// Postconditions: /// out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] /// /// Output Bounds: /// out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]] #[inline] pub fn fiat_25519_to_bytes(out1: &mut [u8; 32], arg1: &fiat_25519_tight_field_element) -> () { let mut x1: u64 = 0; let mut x2: fiat_25519_u1 = 0; fiat_25519_subborrowx_u51(&mut x1, &mut x2, 0x0, (arg1[0]), 0x7ffffffffffed); let mut x3: u64 = 0; let mut x4: fiat_25519_u1 = 0; fiat_25519_subborrowx_u51(&mut x3, &mut x4, x2, (arg1[1]), 0x7ffffffffffff); let mut x5: u64 = 0; let mut x6: fiat_25519_u1 = 0; fiat_25519_subborrowx_u51(&mut x5, &mut x6, x4, (arg1[2]), 0x7ffffffffffff); let mut x7: u64 = 0; let mut x8: fiat_25519_u1 = 0; fiat_25519_subborrowx_u51(&mut x7, &mut x8, x6, (arg1[3]), 0x7ffffffffffff); let mut x9: u64 = 0; let mut x10: fiat_25519_u1 = 0; fiat_25519_subborrowx_u51(&mut x9, &mut x10, x8, (arg1[4]), 0x7ffffffffffff); let mut x11: u64 = 0; fiat_25519_cmovznz_u64(&mut x11, x10, (0x0 as u64), 0xffffffffffffffff); let mut x12: u64 = 0; let mut x13: fiat_25519_u1 = 0; fiat_25519_addcarryx_u51(&mut x12, &mut x13, 0x0, x1, (x11 & 0x7ffffffffffed)); let mut x14: u64 = 0; let mut x15: fiat_25519_u1 = 0; fiat_25519_addcarryx_u51(&mut x14, &mut x15, x13, x3, (x11 & 0x7ffffffffffff)); let mut x16: u64 = 0; let mut x17: fiat_25519_u1 = 0; fiat_25519_addcarryx_u51(&mut x16, &mut x17, x15, x5, (x11 & 0x7ffffffffffff)); let mut x18: u64 = 0; let mut x19: fiat_25519_u1 = 0; fiat_25519_addcarryx_u51(&mut x18, &mut x19, x17, x7, (x11 & 0x7ffffffffffff)); let mut x20: u64 = 0; let mut x21: fiat_25519_u1 = 0; fiat_25519_addcarryx_u51(&mut x20, &mut x21, x19, x9, (x11 & 0x7ffffffffffff)); let x22: u64 = (x20 << 4); let x23: u64 = (x18 * (0x2 as u64)); let x24: u64 = (x16 << 6); let x25: u64 = (x14 << 3); let x26: u8 = ((x12 & (0xff as u64)) as u8); let x27: u64 = (x12 >> 8); let x28: u8 = ((x27 & (0xff as u64)) as u8); let x29: u64 = (x27 >> 8); let x30: u8 = ((x29 & (0xff as u64)) as u8); let x31: u64 = (x29 >> 8); let x32: u8 = ((x31 & (0xff as u64)) as u8); let x33: u64 = (x31 >> 8); let x34: u8 = ((x33 & (0xff as u64)) as u8); let x35: u64 = (x33 >> 8); let x36: u8 = ((x35 & (0xff as u64)) as u8); let x37: u8 = ((x35 >> 8) as u8); let x38: u64 = (x25 + (x37 as u64)); let x39: u8 = ((x38 & (0xff as u64)) as u8); let x40: u64 = (x38 >> 8); let x41: u8 = ((x40 & (0xff as u64)) as u8); let x42: u64 = (x40 >> 8); let x43: u8 = ((x42 & (0xff as u64)) as u8); let x44: u64 = (x42 >> 8); let x45: u8 = ((x44 & (0xff as u64)) as u8); let x46: u64 = (x44 >> 8); let x47: u8 = ((x46 & (0xff as u64)) as u8); let x48: u64 = (x46 >> 8); let x49: u8 = ((x48 & (0xff as u64)) as u8); let x50: u8 = ((x48 >> 8) as u8); let x51: u64 = (x24 + (x50 as u64)); let x52: u8 = ((x51 & (0xff as u64)) as u8); let x53: u64 = (x51 >> 8); let x54: u8 = ((x53 & (0xff as u64)) as u8); let x55: u64 = (x53 >> 8); let x56: u8 = ((x55 & (0xff as u64)) as u8); let x57: u64 = (x55 >> 8); let x58: u8 = ((x57 & (0xff as u64)) as u8); let x59: u64 = (x57 >> 8); let x60: u8 = ((x59 & (0xff as u64)) as u8); let x61: u64 = (x59 >> 8); let x62: u8 = ((x61 & (0xff as u64)) as u8); let x63: u64 = (x61 >> 8); let x64: u8 = ((x63 & (0xff as u64)) as u8); let x65: fiat_25519_u1 = ((x63 >> 8) as fiat_25519_u1); let x66: u64 = (x23 + (x65 as u64)); let x67: u8 = ((x66 & (0xff as u64)) as u8); let x68: u64 = (x66 >> 8); let x69: u8 = ((x68 & (0xff as u64)) as u8); let x70: u64 = (x68 >> 8); let x71: u8 = ((x70 & (0xff as u64)) as u8); let x72: u64 = (x70 >> 8); let x73: u8 = ((x72 & (0xff as u64)) as u8); let x74: u64 = (x72 >> 8); let x75: u8 = ((x74 & (0xff as u64)) as u8); let x76: u64 = (x74 >> 8); let x77: u8 = ((x76 & (0xff as u64)) as u8); let x78: u8 = ((x76 >> 8) as u8); let x79: u64 = (x22 + (x78 as u64)); let x80: u8 = ((x79 & (0xff as u64)) as u8); let x81: u64 = (x79 >> 8); let x82: u8 = ((x81 & (0xff as u64)) as u8); let x83: u64 = (x81 >> 8); let x84: u8 = ((x83 & (0xff as u64)) as u8); let x85: u64 = (x83 >> 8); let x86: u8 = ((x85 & (0xff as u64)) as u8); let x87: u64 = (x85 >> 8); let x88: u8 = ((x87 & (0xff as u64)) as u8); let x89: u64 = (x87 >> 8); let x90: u8 = ((x89 & (0xff as u64)) as u8); let x91: u8 = ((x89 >> 8) as u8); out1[0] = x26; out1[1] = x28; out1[2] = x30; out1[3] = x32; out1[4] = x34; out1[5] = x36; out1[6] = x39; out1[7] = x41; out1[8] = x43; out1[9] = x45; out1[10] = x47; out1[11] = x49; out1[12] = x52; out1[13] = x54; out1[14] = x56; out1[15] = x58; out1[16] = x60; out1[17] = x62; out1[18] = x64; out1[19] = x67; out1[20] = x69; out1[21] = x71; out1[22] = x73; out1[23] = x75; out1[24] = x77; out1[25] = x80; out1[26] = x82; out1[27] = x84; out1[28] = x86; out1[29] = x88; out1[30] = x90; out1[31] = x91; } /// The function fiat_25519_from_bytes deserializes a field element from bytes in little-endian order. /// /// Postconditions: /// eval out1 mod m = bytes_eval arg1 mod m /// /// Input Bounds: /// arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]] #[inline] pub fn fiat_25519_from_bytes(out1: &mut fiat_25519_tight_field_element, arg1: &[u8; 32]) -> () { let x1: u64 = (((arg1[31]) as u64) << 44); let x2: u64 = (((arg1[30]) as u64) << 36); let x3: u64 = (((arg1[29]) as u64) << 28); let x4: u64 = (((arg1[28]) as u64) << 20); let x5: u64 = (((arg1[27]) as u64) << 12); let x6: u64 = (((arg1[26]) as u64) << 4); let x7: u64 = (((arg1[25]) as u64) << 47); let x8: u64 = (((arg1[24]) as u64) << 39); let x9: u64 = (((arg1[23]) as u64) << 31); let x10: u64 = (((arg1[22]) as u64) << 23); let x11: u64 = (((arg1[21]) as u64) << 15); let x12: u64 = (((arg1[20]) as u64) << 7); let x13: u64 = (((arg1[19]) as u64) << 50); let x14: u64 = (((arg1[18]) as u64) << 42); let x15: u64 = (((arg1[17]) as u64) << 34); let x16: u64 = (((arg1[16]) as u64) << 26); let x17: u64 = (((arg1[15]) as u64) << 18); let x18: u64 = (((arg1[14]) as u64) << 10); let x19: u64 = (((arg1[13]) as u64) << 2); let x20: u64 = (((arg1[12]) as u64) << 45); let x21: u64 = (((arg1[11]) as u64) << 37); let x22: u64 = (((arg1[10]) as u64) << 29); let x23: u64 = (((arg1[9]) as u64) << 21); let x24: u64 = (((arg1[8]) as u64) << 13); let x25: u64 = (((arg1[7]) as u64) << 5); let x26: u64 = (((arg1[6]) as u64) << 48); let x27: u64 = (((arg1[5]) as u64) << 40); let x28: u64 = (((arg1[4]) as u64) << 32); let x29: u64 = (((arg1[3]) as u64) << 24); let x30: u64 = (((arg1[2]) as u64) << 16); let x31: u64 = (((arg1[1]) as u64) << 8); let x32: u8 = (arg1[0]); let x33: u64 = (x31 + (x32 as u64)); let x34: u64 = (x30 + x33); let x35: u64 = (x29 + x34); let x36: u64 = (x28 + x35); let x37: u64 = (x27 + x36); let x38: u64 = (x26 + x37); let x39: u64 = (x38 & 0x7ffffffffffff); let x40: u8 = ((x38 >> 51) as u8); let x41: u64 = (x25 + (x40 as u64)); let x42: u64 = (x24 + x41); let x43: u64 = (x23 + x42); let x44: u64 = (x22 + x43); let x45: u64 = (x21 + x44); let x46: u64 = (x20 + x45); let x47: u64 = (x46 & 0x7ffffffffffff); let x48: u8 = ((x46 >> 51) as u8); let x49: u64 = (x19 + (x48 as u64)); let x50: u64 = (x18 + x49); let x51: u64 = (x17 + x50); let x52: u64 = (x16 + x51); let x53: u64 = (x15 + x52); let x54: u64 = (x14 + x53); let x55: u64 = (x13 + x54); let x56: u64 = (x55 & 0x7ffffffffffff); let x57: u8 = ((x55 >> 51) as u8); let x58: u64 = (x12 + (x57 as u64)); let x59: u64 = (x11 + x58); let x60: u64 = (x10 + x59); let x61: u64 = (x9 + x60); let x62: u64 = (x8 + x61); let x63: u64 = (x7 + x62); let x64: u64 = (x63 & 0x7ffffffffffff); let x65: u8 = ((x63 >> 51) as u8); let x66: u64 = (x6 + (x65 as u64)); let x67: u64 = (x5 + x66); let x68: u64 = (x4 + x67); let x69: u64 = (x3 + x68); let x70: u64 = (x2 + x69); let x71: u64 = (x1 + x70); out1[0] = x39; out1[1] = x47; out1[2] = x56; out1[3] = x64; out1[4] = x71; } /// The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements. /// /// Postconditions: /// out1 = arg1 /// #[inline] pub fn fiat_25519_relax(out1: &mut fiat_25519_loose_field_element, arg1: &fiat_25519_tight_field_element) -> () { let x1: u64 = (arg1[0]); let x2: u64 = (arg1[1]); let x3: u64 = (arg1[2]); let x4: u64 = (arg1[3]); let x5: u64 = (arg1[4]); out1[0] = x1; out1[1] = x2; out1[2] = x3; out1[3] = x4; out1[4] = x5; } /// The function fiat_25519_carry_scmul_121666 multiplies a field element by 121666 and reduces the result. /// /// Postconditions: /// eval out1 mod m = (121666 * eval arg1) mod m /// #[inline] pub fn fiat_25519_carry_scmul_121666(out1: &mut fiat_25519_tight_field_element, arg1: &fiat_25519_loose_field_element) -> () { let x1: u128 = ((0x1db42 as u128) * ((arg1[4]) as u128)); let x2: u128 = ((0x1db42 as u128) * ((arg1[3]) as u128)); let x3: u128 = ((0x1db42 as u128) * ((arg1[2]) as u128)); let x4: u128 = ((0x1db42 as u128) * ((arg1[1]) as u128)); let x5: u128 = ((0x1db42 as u128) * ((arg1[0]) as u128)); let x6: u64 = ((x5 >> 51) as u64); let x7: u64 = ((x5 & (0x7ffffffffffff as u128)) as u64); let x8: u128 = ((x6 as u128) + x4); let x9: u64 = ((x8 >> 51) as u64); let x10: u64 = ((x8 & (0x7ffffffffffff as u128)) as u64); let x11: u128 = ((x9 as u128) + x3); let x12: u64 = ((x11 >> 51) as u64); let x13: u64 = ((x11 & (0x7ffffffffffff as u128)) as u64); let x14: u128 = ((x12 as u128) + x2); let x15: u64 = ((x14 >> 51) as u64); let x16: u64 = ((x14 & (0x7ffffffffffff as u128)) as u64); let x17: u128 = ((x15 as u128) + x1); let x18: u64 = ((x17 >> 51) as u64); let x19: u64 = ((x17 & (0x7ffffffffffff as u128)) as u64); let x20: u64 = (x18 * 0x13); let x21: u64 = (x7 + x20); let x22: fiat_25519_u1 = ((x21 >> 51) as fiat_25519_u1); let x23: u64 = (x21 & 0x7ffffffffffff); let x24: u64 = ((x22 as u64) + x10); let x25: fiat_25519_u1 = ((x24 >> 51) as fiat_25519_u1); let x26: u64 = (x24 & 0x7ffffffffffff); let x27: u64 = ((x25 as u64) + x13); out1[0] = x23; out1[1] = x26; out1[2] = x27; out1[3] = x16; out1[4] = x19; }